Finding the Third Proportional to 548,802,913,164 and 1,188,778,742,040
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Solution
The third proportional to 548,802,913,164 and 1,188,778,742,040 is: 2,575,049,919,794.97
Step by Step Solution
- Step 1: Write the proportion equation
548,802,913,164 : 1,188,778,742,040 = 1,188,778,742,040 : x - Step 2: Convert to fraction form
548,802,913,164/1,188,778,742,040 = 1,188,778,742,040/x - Step 3: Cross multiply
548,802,913,164x = 1,188,778,742,040 × 1,188,778,742,040 - Step 4: Simplify right side
548,802,913,164x = 1,413,194,897,526,204,923,904,000 - Step 5: Solve for x
x = 1,413,194,897,526,204,923,904,000/548,802,913,164 - Step 6: Final answer
x = 2,575,049,919,794.97
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.